85300 has 18 divisors (see below), whose sum is σ = 185318. Its totient is φ = 34080.

The previous prime is 85297. The next prime is 85303. The reversal of 85300 is 358.

85300 = T₅ + T₆ + ... + T₇₉.

It is an interprime number because it is at equal distance from previous prime (85297) and next prime (85303).

It can be written as a sum of positive squares in 3 ways, for example, as 36 + 85264 = 6^2 + 292^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 327 + ... + 526.

2⁸⁵³⁰⁰ is an apocalyptic number.

It is an amenable number.

85300 is an abundant number, since it is smaller than the sum of its proper divisors (100018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85300 is a wasteful number, since it uses less digits than its factorization.

85300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 85300 is about 292.0616373302. The cubic root of 85300 is about 44.0199633928.

Adding to 85300 its reverse (358), we get a palindrome (85658).

The spelling of 85300 in words is "eighty-five thousand, three hundred".